a single coil pickup with an added coil only for humcancelling purpose and not for tone shaping.
Di marzio does something that way for sure, even their guitar Virtual Vintage pickups are done this way.

....they make only guitar pickup but their site exlpain better than me the concept of single coil humcancelling pickup:

"...I figured the best way to get rid of the hum of single-coil pickups was an active system using phantom coils to cancel noise electronically. I designed such a system, which I called the Kinman Buzzbucker and it worked pretty well. I fitted it as standard equipment to over 130 of my Blueprint Series guitars which were the first and only traditional 'S' class guitar to feature silent pickup operation. Guitar players loved them so much they often bought 2. I also retrofitted the Buzzbucker to customers' Strats when they had noise problems and wouldn't use stacked pickups..."